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Finding the Third Proportional to 11,898,009 and 24,830,469

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Solution

The third proportional to 11,898,009 and 24,830,469 is: 51,819,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898,009 : 24,830,469 = 24,830,469 : x
  2. Step 2: Convert to fraction form
    11,898,009/24,830,469 = 24,830,469/x
  3. Step 3: Cross multiply
    11,898,009x = 24,830,469 × 24,830,469
  4. Step 4: Simplify right side
    11,898,009x = 616,552,190,759,961
  5. Step 5: Solve for x
    x = 616,552,190,759,961/11,898,009
  6. Step 6: Final answer
    x = 51,819,778.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.